# Factor the polynomial. x^{3}+9x^{2}+6x+54 (Factor completely)

Factor the polynomial. ${x}^{3}+9{x}^{2}+6x+54$ (Factor completely)
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Step 1
Solve the following
Step 2
${x}^{3}+9{x}^{2}+6x+54$
$={x}^{2}\left(x+9\right)+6\left(x+9\right)$
$=\left(x+9\right)\left({x}^{2}+6\right)$
$\because {x}^{2}+6$ can not be factorized.
$⇒$ Complete factorization of given polynomial
$=\left(x+9\right)\left({x}^{2}+6\right)$